A hybrid model for the population dynamics of periodical cicadas

DOI10.1007/s11538-018-00554-0zbMath1415.92154arXiv1612.01429OpenAlexW3100530873WikidataQ90655658 ScholiaQ90655658MaRDI QIDQ2417503

Julie C. Blackwood, Alan Hastings, Andrew M. Liebhold, Andrew E. Noble, Jonathan Machta

Publication date: 12 June 2019

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01429

zbMATH Keywords

Leslie matrixAllee effectsperiodical cicada

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Biological rhythms and synchronization (92B25)

Related Items (4)

Sharp boundary formation and invasion between spatially adjacent periodical cicada broods ⋮ The winner takes it all: how semelparous insects can become periodical ⋮ Bifurcations of cycles in nonlinear semelparous Leslie matrix models ⋮ Global dynamics of a special class of nonlinear semelparous Leslie matrix models

Cites Work

• Cycles in cannibalistic egg-larval interactions
• Periodical cicadas
• On synchronization in semelparous populations
• On circulant populations. I: The algebra of semelparity
• The winner takes it all: how semelparous insects can become periodical
• Stable bifurcations in semelparous Leslie models
• The prime number periodical cicada problem

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